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1327906298040 = 2335719271307019
BaseRepresentation
bin10011010100101101011…
…000100001100010111000
311200221120001222021110020
4103110231120201202320
5133224023003014130
62454010504250440
7164636520204030
oct23245530414270
94627501867406
101327906298040
11472186539a23
12195435170a20
13982b479822a
14483b19068c0
152481dd2ce10
hex1352d6218b8

1327906298040 has 256 divisors, whose sum is σ = 4810143744000. Its totient is φ = 286484636160.

The previous prime is 1327906298039. The next prime is 1327906298053. The reversal of 1327906298040 is 408926097231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4171651 + ... + 4478669.

It is an arithmetic number, because the mean of its divisors is an integer number (18789624000).

Almost surely, 21327906298040 is an apocalyptic number.

1327906298040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1327906298040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405071872000).

1327906298040 is an abundant number, since it is smaller than the sum of its proper divisors (3482237445960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1327906298040 is a wasteful number, since it uses less digits than its factorization.

1327906298040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307330 (or 307326 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 1327906298040 in words is "one trillion, three hundred twenty-seven billion, nine hundred six million, two hundred ninety-eight thousand, forty".